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Simplifying 24 + -6v = 8(2v + -3) Reorder the terms: 24 + -6v = 8(-3 + 2v) 24 + -6v = (-3 * 8 + 2v * 8) 24 + -6v = (-24 + 16v) Solving 24 + -6v = -24 + 16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16v' to each side of the equation. 24 + -6v + -16v = -24 + 16v + -16v Combine like terms: -6v + -16v = -22v 24 + -22v = -24 + 16v + -16v Combine like terms: 16v + -16v = 0 24 + -22v = -24 + 0 24 + -22v = -24 Add '-24' to each side of the equation. 24 + -24 + -22v = -24 + -24 Combine like terms: 24 + -24 = 0 0 + -22v = -24 + -24 -22v = -24 + -24 Combine like terms: -24 + -24 = -48 -22v = -48 Divide each side by '-22'. v = 2.181818182 Simplifying v = 2.181818182
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